Homework Help for Physics (page 3259)
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Halley's comet moves about the Sun in an elliptical orbit, with its closest approach to the Sun being 0.59 A.U. and its greatest distance being 35 A.U. (1 A.U. = Earth-Sun distance). If the comet's speed at closest approach is 63 km/s, what is its speed when it is farthest from the Sun? You may neglect any change in the comet's mass and assume that its angular momentum about the Sun is conserved.
1. A large block m1 slides on top of a small
block m2 on a frictionless ramp inclined at
angle ?. The coefficient of friction between
the two blocks is Âµ. Draw separate free
body diagrams for each block, and write
Newton's 2nd Law for each block. Find the
acceleration of each block and the tension in
the string that connects the blocks. Evaluate
your algebraic solution for m1 = 20 kg; m2 =
10 kg; ? = 30Â°; Âµ = 0.1.
2. A 0.25-kg tether ball is attached to a vertical pole by a 1.2 mcord. Assume that the cord
is attached to the center of the ball. If the ball moves in ahorizontal circle with the cord
making an angle of 20Â° with the vertical, (a) what is the tensionin the cord? (b) What is
the speed of the ball? (c) What is the frequency?
NASA sends satellites to Mars by placing the satellite in aKeplerian orbit (around the sun) such that the perihelion is at theradius of the Earth's orbit (1 AU) and the aphelion is at theradius of Mars's orbit (1.52 AU).
Most of the trip to Mars is just free fall in the sun'sgravitational field. The small gravitational effects of Earth andMars, which only affect the satellite at the very beginning and endof the trip, may be neglected.
Calculate the time it takes the satellite to travel from Earth toMars. Express the result in days.
The two masses in the Atwood's machine shown in the figure areinitially at rest at the same height. After they are released, thelarge mass, m_2, falls through a height h and hits the floor, andthe small mass, m_2, rises through a height h.
A) Find the speed of the masses just before m_2 lands, giving youranswer in terms of m_1, m_2, g, and h. Assume the ropes and pulleyhave negligible mass and that friction can be ignored.
Express your answer in terms of the variables m_1, m_2, h, andappropriate constants.
B) Evaluate your answer to part A for the case h_v = 1.1 m, m_1v =3.4 kg, and m_2v = 4.8 kg.
Hello. There is one correction to the table. The period(T) needs to be divided by 10. So for m1 the period (T) wouldbe 3.3, m2 would be 4.7. Sorry for the confusion. Theinstructions for this table are below:
Using your measured values, calculate the frequency (Ï) ofeach oscillation, and deduce the value for the spring constant,k.
Two blocks are connected by a massless string over a massless andfrictionless pulley. Mass 1 (5 kg) is on a plane inclined at 35degrees. Mass 2 (11 kg) is hanging from the pulley. The coefficientof static friction is 0.25 and the coefficient of kinetic frictionis 0.15 on the surface.
a) The system is released from rest. Do the masses start to slide?(Prove your answer). If not, how hard would you have to push to getthem started?
b) Draw the freebody force diagrams for the masses once they startsliding.
c) From these diagrams, use Newtonâs 2nd Law to obtain theequations you will need to solve for acceleration andtension.
d) What is the acceleration of the blocks?
e) What is the tension in the string?
A variation of Russell traction ( the figure )supports the lower leg in a cast. Suppose that the patient's legand cast have a combined mass of 17.0 kg and m1 is5.00kg.
1. What is the reaction force of the leg muscles to thetraction?
2. What must m2 be to keep the leg horizontal?
m2 = ______kg
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