Mechanics | Relativity Answers

a wheel on a game show is being pulled band starts to rotate with initial angular speed of 1.5 rad/s . it comes to rest after rotating through 3/4 of a turn . calculate the torque exerted on the wheel if the mass and the radius of the wheel is 6.5 kg and 0.7m respectively .

a bicycle wheel of mass 1.2 kg has a radius of 0.5m . Calculate the moment of inertia of the wheel.

The motion of a particle is given by a =t^3-3t^2+5, where a is the acceleration in m/s^2 and t is the time in seconds .the velocity of the particle at t=1 seconds is 5.25m/s and the displacement and the velocity when the t =2seconds

The driver of a speeding empty truck slams on the brakes and slows down to a stop through a distance d. On a second trial, the truck carries a load that doubles its mass. What distance will the loaded truck cover to come to rest, when it is moving at the same speed and the brakes are slammed?

A bullet of mass 25 g and travelling horizontally at a speed of 200 m/s imbeds itself in a wooden block of mass 5 kg suspended by cords 3 m long. How far will the block swing from its position of rest before beginning to return?

A 4 kg ball moving with a velocity of 100m/s collides with a 16 kg ball moving with a velocity of 40m/s. (i) in the same direction, (ii) in the opposite direction. Calculate the velocity of the balls in each case if they coalesce on impact, and the loss of energy resulting from the impact. State the principle used to calculate the velocity.

A car moving with a velocity of 54 km/h accelerates uniformly at the rate of 2 m/s2. Calculate the distance travelled from the place where the acceleration began to that where the velocity reaches 72 km/h, and the time taken to cover this distance.

A ball is hit so that it travels straight upward after being struck by the bat. A fan observes that it takes 3.00 s for the ball to reach its maximum height. Find (a) the ball’s initial velocity and (b) the height it reaches.

A ball is thrown upward from the ground with an initial speed of 25 m/s; at the same instant, another ball is dropped from a building 15 m high. After how long will the balls be at the same height above the ground?

A baseball is hit so that it travels straight upward after being struck by the bat. A fan observes that it takes 3.00 s for the ball to reach its maximum height. Find (a) the ball’s initial velocity and (b) the height it reaches.