4. A 4.0 kg object has a velocity of 3i m/s at one instant. Eight seconds later, its velocity is (8i + 10j) m/s. Assuming the object was subject to a constant net force, find (a) the components of the force and (b) its magnitude.

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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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q1ii. answer 4 a and b

II.
Solve the following problems carefully. Write the STEP-BY-STEP solution and
box your final answer.
1. A ball is thrown vertically upward until it reaches a height of 5 yards. Find the initial
velocity of the ball in ft/s.
2. A 50 kg log is floating above a waterfall at a rate of 10 ft/s. What will be the resulting
kinetic energy in kJ if the log falls down the waterfalls with a velocity of 30 ft/s?
3. If a particles position is given by the expression x(t) = 3.4t3 – 5.4t, What is the
position of the particle after 5 seconds?
4. A 4.0 kg object has a velocity of 3i m/s at one instant. Eight seconds later, its velocity
is (8i + 10j) m/s. Assuming the object was subject to a constant net force, find
(a) the components of the force and
(b) its magnitude.
5. A crate of mass 10 kg is pulled up a rough incline with an initial speed of 1.5 m/s.
The pulling force is 150N parallel to the incline, which makes an angle of 30° with
the horizontal. The coefficient of kinetic friction is 0.400, and the crate is pulled
5.00m.
(a) How much work is done by gravity?
(b) How much energy is lost due to friction?
(c) How much work is done by the 150N force?
(d) What is the speed of the crate after being pulled 5.00m?
Transcribed Image Text:II. Solve the following problems carefully. Write the STEP-BY-STEP solution and box your final answer. 1. A ball is thrown vertically upward until it reaches a height of 5 yards. Find the initial velocity of the ball in ft/s. 2. A 50 kg log is floating above a waterfall at a rate of 10 ft/s. What will be the resulting kinetic energy in kJ if the log falls down the waterfalls with a velocity of 30 ft/s? 3. If a particles position is given by the expression x(t) = 3.4t3 – 5.4t, What is the position of the particle after 5 seconds? 4. A 4.0 kg object has a velocity of 3i m/s at one instant. Eight seconds later, its velocity is (8i + 10j) m/s. Assuming the object was subject to a constant net force, find (a) the components of the force and (b) its magnitude. 5. A crate of mass 10 kg is pulled up a rough incline with an initial speed of 1.5 m/s. The pulling force is 150N parallel to the incline, which makes an angle of 30° with the horizontal. The coefficient of kinetic friction is 0.400, and the crate is pulled 5.00m. (a) How much work is done by gravity? (b) How much energy is lost due to friction? (c) How much work is done by the 150N force? (d) What is the speed of the crate after being pulled 5.00m?
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