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In the figure here, a ball is thrown up onto a roof, landing 4.70 s later at height h = 25.0 m above the release level. The ball's path just before landing is angled at θ = 58.0˚ with the roof. (a) Find the horizontal distance d it travels. (Hint: One way is to reverse the motion, as if it is on a video.) What are the (b) magnitude and (c) angle (relative to the horizontal) of the ball's initial velocity?
If you have ever been down a water-slide (a flume) you will know that you tend to slide up the side as you go around a bend. Explain how this provides the centripetal force needed to push you around the bend. Explain why you slide higher if you are going faster.
Point charges 88μC,-55μC and 70 μC are placed in a straight line. The central one is 0.75m from each of the others. Calculate the net force on each due to the other two.
How much heat is needed to change the temperature of a 2.0 kg of block of copper from
10°C to 140°C? (5 points)
2. How much steam at 1000C must be added to 163g of water at 25°C contained in a 30 g
glass vessel to produce water at 770C? (10 points)
3. The density of gold at 20°C is 19,300kg/m3. Find the density at 100°C. (10 points)
At rest blood is pumped from the heart at a rate of 5.0 L/min into the aorta (of radius 1.0 cm). During the intense physical activity the rate becomes 25.0 L/min. Determine the speed of blood through the aorta for both cases.
2. A particle moves in simple harmonic motion with a frequency of 3.00 oscillations/s and an amplitude of 5.00 cm. (a) Through what total distance does the particle move during one cycle of its motion? (b) What is its maximum speed? (c) Find the maximum acceleration of the particle.
3. Using data from Table, calculate the daily energy needs of a person who sleeps for 8.00 h, walks for 2.00 h, works in the office for 8 hours, does moderate physical work during 2 hours and lying awake for 4 hours. (suppose, that working in office consumes energy at the same rate as sitting upright.). Suppose that the person mass is 80-kg and his height 1.75m.
1. Blood is flowing through an artery of radius 2 mm at a velocity of 40 cm/s. Determine the flow rate and the volume that passes through the artery in a period of 30 s.
2. A block with a mass of 200 g is connected to a light spring for which the force constant is 5.00 N/m and is free to oscillate on a horizontal, frictionless surface. The block is displaced 5.00 cm from equilibrium and released from rest (a) Find the period of its motion. (b) Determine the maximum speed of the block. (c) What is the maximum acceleration of the block? (d) Express the displacement, speed, and acceleration as functions of time.
3. Suppose that a person of weight 75 kg and height 1.5 m reduces her sleep by 1 hr/day and spends this extra time doing moderate physical work. If her food intake remains unchanged, how much weight will she lose in one year?
What is the mass of a crate with a net force of 300N and accelerate it by 0.750 m/s²
an object initially has a velocity 6m/s, travel a distance of 24m with an acceleration of -4m/s. find the final velocity of the object .
car from rest is moving at a velocity of 86 km/hr in 10 seconds. Determine the acceleration of a car.
A 3.5 kg papaya is pushed across a table. If the acceleration of the papaya is 2.2 m/s² to the left, what is the net external force exerted on the papaya?
