
Science
From triangle ABC in the attached figure, `tantheta=(BC)/(CA)` `=p_c/p_t=5.6713` Again conservation of momentum during the collision requires that, `p_c^2+p_t^2=(6000*7.00)^2` `rArr...

Science
There are two parts in this problem. Before we can measure the centripetal force in the halfpipe, first we need to get the value of the velocity. With the given values, we can first get the...

Science
LED is an acronym for light emitting diode. An LED is made of a semiconductor material like silicon. The semiconductor is divided into two parts, and an impurity in the form of small amounts of...

Science
A raft is able to float on water in spite of the fact that the material it may be made of is heavier than water. This is due to a buoyant force acting upwards created by the water that the raft...

Science
The distance (s) traveled by an object starting with an initial velocity u in time t is given by the formula s = u*t + (1/2)*a*t^2 where a is the average acceleration of the object. When a stone is...

Physics
As an airplane flies, the speed of air passing over the top of the wing is higher than the speed at which air flows below the wing. This creates a differential in the pressure above and below the...

Science
A stone is thrown with a speed of 30 m/s in a direction making an angle of 32 degrees with the horizontal. The horizontal component of the velocity of the stone is equal to 30*cos 32 and the...

Science
A box with mass 20 kg rests on a rough surface, the coefficient of friction between the box and the surface it is placed on is 0.8. If the box is moved, there is a resistive force equal to `F =...

Science
The gravitational potential energy of an object with mass m on any planet is given by the general formula PE = m*g*h where m is the mass of the object, g is the gravitational acceleration due to...

Science
The rotational inertia of a system is a measure of the system's resistance to angular acceleration. It is the sum of mass x distance squared from the axis of rotation over unit areas of the object...

Science
1. If a stationary person, sitting on a platform that is free to rotate flips a spinning bicycle wheel over, angular momentum has to be conserved, so the person will start spinning in the opposite...

Science
1) The rotational first law states that a body in rotation or at rest tends to keep its state of motion as long as there is no external torque applied to it. The mathematical expression refers to...

Science
If the initial velocity of a car is u and it accelerates at a rate a for time t, the final velocity is v is equal to v = u + a*t. The distance traveled by the car in reaching the speed v is equal...

Science
The skater attains an angular speed of 15 rad/s with her arms fully extended. She then draws her arms (and a leg) in and speeds up tremendously. This is the result of conservation of angular...

Science
The angular momentum of a body having mass `m` with respect to an axis is by definition given the the vectorial product between its position vector `r` measured perpendicular from that axis and...

Science
1) If `A =3.0*hati +4.0*hatj2.0*hatk` and `B =4.0*hati 3.0*hatj+5.0*hatk` then `A xx B =[hati,hatj,hatk],[3,4,2],[4,3,5]=5*4*hati +2*4*hatj 3*3*hatk 4*4*hatk+3*2*hati3*5*hatj =` `=26*hati...

Science
The torque of a force about a point is by definition the vectorial product between the position vector of the point of force application and the value of the force itself. Therefore T= rx F where x...

Science
1) The figure is below attached. The torque of a force F with respect to a point O is by definition the vectorial product between the vectors representing the position vector of the force and the...

Science
1) The vector product of two vectors is determined as the determinant constructed from the vectors' components: `vecA = 3hati + 4hatj2hatk` `vecB = 4hati3hatj + 5hatk` The vector product `vecA xx...

Science
1. Given an object with a fixed speed that is moving in a circular path with a fixed radius, we can define the angular velocity `omega` of the object. This is the rate of change of radian measure...

Science
I am not going to do your experimental laboratory but I will answer the two following theoretical questions. 2) We know that a full circle has a circumference equal to: `P =2*pi*R =R*theta` where...

Science
1) TRUE Mass is an intrinsic property of matter regardless its other physical properties like for example its form. Thus deforming an object does not change its mass. Moment of inertia of an object...

Physics
The film and the events it depicts are, in many ways, one giant physics problem. Getting to the moon is one thing, but the specific events depicted in Apollo 13 involved that and more. Physics...

Science
You need to remember that the torque is the equivalent of linear force in rotational movement and its formula is the following, such that: `T = F*d` F represents the magnitude of the force d...

Science
You need to remember the torque equation, such that: `T = F*d` F represents the magnitude of force d represents the perpendicular distance to pivot axis Since the Sam's force needs to stop the rod...

Science
A quantitative yoyo is constructed with a disk fixed to an axle and it has string wrapped around it. The radius of the disk is 5 mm. When the disk is dropped it revolves about a perpendicular line...

Science
The slope of the steps is 0.47. Each step has a rise of 0.14 m and a run of 0.3 m. The height of the staircase is 4.8 m. A ball is rolled with a horizontal velocity of 1.09 m/s. Let the ball land...

Science
A torque of 12 N*m is applied to a solid, uniform disk of radius 0.50 m. As a result of this, the disk accelerates at 5.7 rad/s^2. If a torque T is applied to an object with moment of inertia I,...

Science
The cable car at a ski resort carries skiers a distance of 6.8 km. The cable which moves the car is driven by a pulley with diameter 3.0 m. It can be assumed that there is no slippage as the cable...

Science
The angular displacement of the wheel at time t = 0 is zero radians. The angular velocity of the wheel at time t = 0 is 28 rad/s. The constant acceleration of the wheel is 0.51 rad/s^2. As the...

Science
You need to evaluate the average angular velocity, under the given conditions, such that: `alpha = (omega_f  omega_i)/(t  t_0)` `alpha =(Delta omega)/(Delta t)` The problem provides the...

Science
a) You need to evaluate the angular displacement of the ball, using the following formula, such that: `theta = S/r` The displacement S = 10 m, and the radius r = 9 cm, hence, you need to convert...

Science
a) The initial angular speed is simply `omega_0 = 2*pi*F =2*pi*3600 rad/min =2*pi*3600/60 (rad)/(sec)=` ` =120*pi (rad)/(sec) ~~377 (rad)/(sec)` The initial angular speed is `120*pi` rad/sec b) The...

Science
If the motion is performed in the absence of friction, then the mechanical energy (kinetic and potential energy) remains constant. This means that if you evaluate the sum of the potential and...

Science
In regards to point e) If KE = 0, then V = 0. I believe the KE is actually at a minimum, rather than 0, at this point. We might say that there is zero kinetic energy with respect to the vertical...

Science
Three facts about energy will help us solve this problem: Energy is conserved; without any loss to friction, the total energy will remain constant Potential Energy + Kinetic Energy at one point...

Physics
At the dam, water falls from a height of 150 m on a turbine with an efficiency of 65%. This implies that 65% of the gravitational potential energy stored in the water is converted to electrical...

Physics
To solve for the linear distance, apply the relationship between radius and linear distance which is: `s = theta r` Since we have to determine the linear distance in one revolution, then...

Physics
This is differential equation with separated variables. `dy/dx=(y1)cotx` `dy/(y1)=cotx dx` Now we integrate whole equation. `int dy/(y1)=int cotx dx` `ln(y1)=ln (sin x)+ln C=ln(C sin x)`...

Physics
One way to imagine this question is as a quadrilateral. You're given 3 sides and you've been asked to calculate the remaining side.To do this, sum up the 3 sides you know, and what remains will be...

Science
The act of spinning a small weight attached to a string in a horizontal plane is the study of centripetal motion. The centripetal force is the force that keeps the weight moving in a circular...

Physics
All cases are in the figure below. Equivalent resistances are Between A) and B) `R_("eq") = R1 "parallel" (R2 "series" R3) = R1 "parallel" (R2+R3) = (R1*(R2+R3))/(R1+R2+R3)` Between A) and C)...

Physics
Assume that you are holing the meter stick at one end and the weight is on the other end. The torque, relative to the point where you are holding it, will be `tau=l*mg*sin(theta)` where l is the...

Physics
We can use equations of motion here. `v^2 = u^2+2aS` The data we have is: `u = 25m/s` `a = 4.9m/s^2` since we have a deceleration `S = 25m` `v^2 = 25^22xx4.9xx25` `v = 19.49m/s` So the...

Physics
When the balloon goes upward with a velocity of 8.8m/s all items inside it has the same velocity of 8.8m/s. When the sand bag get loosed it also have that speed at the moment of loose. The balloon...

Physics
Linear momentum conservation Law is required to answer this question. In the absense of external forces, the linear momentum of a system is conserved. Linear momentum of a body with mass m is mV,...

Physics
First of all, let me clarify that we expect that the two objects will hit the ground at the same time if we neglect air resistance. This is so because, acceleration, without air resistance, is...

Physics
By definition the mechanical work done by a force `F` that moves a mass along a distance `d` is `W =F**d` where`**` is the scalar product of the vectors representing force `F` and distance `d` . `...

Physics
a) In any closed system, momentum is conserved. The momentum of a body is calculcated by multiplying the mass and velocity of the body together. `P=mv` If you have two bodies colliding (lets call...

Physics
Let us use the following notations. M = Man F = Ferry W = Water The given detail are found in the attached image. Let us define the horizontal and vertical components of each velocity....