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The speed of a bullet as it travels down the barrel of a rifle toward the opening is given by v = (-5.30 107) t 2 + (3.15 105) t, where v is in meters per second and t is in seconds. The acceleration of the bullet just as it leaves the barrel is zero. (a) Determine the acceleration and position of the bullet as a function of time when the bullet is in the barrel. (Use t as necessary and round all numerical coefficients to exactly 3 significant figures.) (b) Determine the length of time the bullet is accelerated. (c) Find the speed at which the bullet leaves the barrel. (d) What is the length of the barrel?
A person whose eyes are H = 1.64 m above the floor stands L = 2.3 m in front of a vertical plane mirror whose bottom edge is 38 cm above the floor. What is the horizontal distance x to the base of the wall supporting the mirror of the nearest point o..
A prospector finds a solid rock composed of granite (? = 2650 kg/m3) and gold. The volume of the rock is 3.00e-4 m3 and its mass is 3.48 kg. (a) What mass of gold is contained in the rock in kg? (b) What percentage of the rock is gold by volume? (..
The amplitude of the voltage across an inductor can be greater than the amplitude of the generator emf in an RLC circuit. Consider an RLC circuit with Epeak = 50 V, R = 14, L = 1.05 H, and C = 1.12 µ F. Find out the amplitude of the voltage across th..
A 59.0 kg skateboarder wants to just make it to the upper edge of a "quarter pipe," a track that is one-quarter of the circle with a radius of 3.80 m.
A box is pushed across the floor, slide with a constant velocity, and is opposed by a friction force of 25N. What is the magnitude of the force? Choose the correct answer. A.Less than 25N B.Zero C.Greater than 25N D.25n
What is weight of the parachutist
A wheel rotating about a fixed axis has an angular position given by q = 3- 2.0t3, where q is measured in radians and t in seconds. What is angular acceleration of the wheel at t = 2.00s.
At t = 0 a grinding wheel has an angular velocity of 23.0 rad/s. It has a constant angular acceleration of 31.0 rad/s2 until a circuit breaker trips at t = 2.00 s. From then on, it turns by 432 rad as it coasts to a stop at constant angular accele..
define the initial velocity of the ball.
You are trying to overhear a juicy conversation, but from your distance of 15m. It sounds like only an average whisper of 20 dB. So you decide to move closer to give the conversation a sound level of 60 dB instead. How close must you come.
The coefficient of static friction between the stone and each side of the tread channel is 0.7. While the tire surface is rotating at a maximum speed of 1 m/s, the stone flies out of the tread. The magnitude FN of the normal force that each side of t..
A coach tells his little league players that hitting a .275 batting average, within 7% percentage error, means that they had a really great season. 7-year-old Tommy ended the season hitting a .258 batting average. According to his coach, did he ha..
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