4. Determine the acceleration of a pendulum bob as it passes through an angle of 15 degrees to the right of the equilibrium point.
A 1000-g ball is tied to a string 60cm long and is whirled in a vertical circle at 1 revolution per second. if the tension at the highest point is zero what is the speed of the body at the highest point?
A 35 W radio is on for 2.5 h. If the voltage across the radio's terminals is 120 V, how much total charge moves through the radio while it is on?
A 1000kg car moving at 97.2 kph is stopped in 2 seconds, how much force was required to this?
A uniform bar is 4m long. It weighs 300N. At one end, 1m from the pivot point, there is a resisting weight of 2000N. What force must be applied at the other end to produce equilibrium?
A boy throws a rock with speed v = 18.3 m/s at an angle of θ = 57.0° over a building. The rock lands on the roof 15.0 m in the x direction from the boy. How long was the rock in the air? How much taller, height h, is the building than the boy? Ignore air resistance.
The position of a particle is given by x(t)=4.0t^2+0.5t^3m
a. Find the instantaneous velocity at t=5.0 to 3.0sec
b. What will be the average velocity fist =5.0 and 6.0
You wish to use a spring that has a constant of 25N/m to launch a 25.0g object. If the spring is initially compressed 5.0cm before launching the projectile, what is the maximum height the object will attain.
A roller coaster starts at 2.5m/s at a height of 25m above the ground. Determine the speed of the roller coaster when it is:
a. 20m above the ground;
b. 10m above the ground;
c. At ground level.
A billiard ball moving at 5.0m/s strikes a stationary ball of the same mass. After the collision, the ball moves at 4.33m/s at an angle of 30.0° with respect to the original line of motion. Determine whether or not the collision was perfectly elastic.