A cue ball traveling at 4.00 m/s makes a glancing, elastic collision with a target ball of equal mass that is initially at rest. The cue ball is deflected so that it makes an angle of 30 degrees with its original direction of travel. Find (a) the angle between the velocity vectors of the two balls after the collision and (b) the speed of each ball after the collision.
A 0.50 kg ball that is tied to the end of a 1.5 m light cord is revolved in a horizontal plane with the cord making a 30 degree angle with the vertical. (a) Determine the ball's speed (b) If instead the ball is revolved so that its speed is 4.0 m/s, what angle does the cord make with the vertical? (c) If the cord can withstand a maximum tension of 9.8 N, what is the highest speed at which the ball can move?
A 7.00 g bullet, when fired from a gun into a 1.00 kg block of wood held in a vise, penetrates the block to a depth of 8.00 cm. This block of wood is placed on a frictionless horizontal surface, and a second 7.00 g bullet is fired from the gun into the block. To what depth does the bullet penetrate the block in this case? (answer: 7.94 cm)How?
A car rounds a banked curve where the radius of curvature on the road is R, the banking angle is A, and the coefficient of friction is F. (a) Determine the range of speeds the car can have without slipping up or down the road. [Answer:8.6m/s] (b) What is the range of speeds possible if R=100m, A=30, and F=10 (slippery conditions)? [Answer:17m/s]Explain step by step.
Suppose that in designing a roller coaster loop track, you establish a safety criterion that at the top of the loop the normal force exerted on a passenger by the roller coaster should be 10% of the passenger's weight. (That is the effective weight pressing him down into his seat is 10% of his actual weight) The roller coaster is moving at 62 ft/s when it enters the loop. What is the necessary instantaneous radius of curvature (rho) of the track at the top of the loop? The diameter of the loop = 50 ft.
A boat moves 6 kilometers upstream in the same amount of time it moves 16 kilometers downstream. If the rate of the current is 9 kilometers /hr, find the rate of the boat in still water?
If a ball is kicked straight up with an initial velocity of 32 feet per second, then its height above the earth is a function of time given by s(t)=-16t^2+32t. What is the maximum height reached by this ball?
If a projectile is fired at a 45 degree angle from a height of 50 feet with an initial velocity of 100 feet per second, then it's altitude A in feet after (t) seconds is given by
A(t) = -16t^2 + [100/sqrt2]t + 50
1/ How long will the projectile travel above 60 feet of altitude?
2/ How long will it take for it to hit the ground?
Round the solutions (t) to the lowest integers to simplify.
Steve drives 30 ft. accross the parking lot.
He turns right and drives 30 ft.
He turns left and drives 10 ft.
He stops.
How far is Steve from where he started?
I am not sure if the first sentence is a throw off or if it needs to be included in the problem. I am confused. I come up with 70 feet. My husband comes up with 40 feet. Your answer will be greatly appreciated. Kind Regards.
