Please assist with 10 physics 101 questions.
Question
Hi,
Please assist with 10 physics 101 questions. A step by step explination process is important so that I can see what I need to learn.
Questions
1. If a 0.3 kg object hanging from a spring stretches it by 0.25 m, then by how much will the spring be stretched (in m) if a 0.6 kg object is suspended from it?
2.
A mass m is attached to a spring with spring constant k, as shown in the figure below.
The mass is pulled to the right a distance of 0.2 m and released. Rank the following spring-mass combinations according to their oscillation periods from longest to shortest. If any combinations have the same period, give them the same rank. You should assume that there is no friction between the mass and the horizontal surface. (Use only “>” or “=” symbols. Do not include any parentheses around the letters or symbols.)
- k = 0.6 N/m; m = 0.50 kg
- k = 0.6 N/m; m = 1.00 kg
- k = 0.6 N/m; m = 2.00 kg
- k = 1.2 N/m; m = 0.50 kg
- k = 1.2 N/m; m = 1.00 kg
__________
3.
A person stands on a scale inside an elevator at rest (see the figure below). The scale reads W = 608 N.
(a) What is the person’s mass?
kg
(b) The elevator accelerates upward momentarily at the rate of a = 4 m/s2. What does the scale read then?
N
(c) The elevator then moves with a steady speed of 4 m/s. What does the scale read now?
N
4.
On aircraft carriers, catapults are used to accelerate jet aircraft to flight speeds in a short distance. One such catapult takes a 18,100-kg jet from 0 to 67 m/s in 2.8 s. (Assume the catapult acts in the positive horizontal direction. Indicate the direction with the sign of your answer where appropriate.)
(a) What is the acceleration of the jet in m/s2?
m/s2
What is the acceleration of the jet in g‘s?
g
(b) How far does the jet travel while it is accelerating?
m
(c) How large is the force that the catapult must exert on the jet?
N
5.
The Kingda Ka roller coaster in New Jersey is the world’s tallest ride of its kind. As the passenger cars are launched from rest at the start, they are accelerated uniformly to a speed of 57 m/s (128 mph) in just 3.5 s. (Assume the cars are launched in the positive horizontal direction. Indicate the direction with the sign of your answer where appropriate.)
(a) What is the acceleration experienced by passengers on this ride in m/s2?
m/s2
What is the acceleration experienced by passengers on this ride in g‘s?
g
(b) If a certain passenger has a mass of 61 kg, what is the force in newtons that acts on him during the launch phase of this ride?
(b) N
What is the force in pounds that acts on him during the launch phase of this ride?
lb
6.
A jet aircraft with a mass of 4,675 kg has an engine that exerts a force (thrust) equal to 59,500 N.
(a) What is the jet’s acceleration when it takes off? (Give the magnitude.)
m/s2
(b)What is the jet’s speed after it accelerates for 9 s? (Assume it starts from rest.)
m/s
(c) How far does the jet travel during the 9 s?
m
7.
A race car rounds a curve at 59 m/s. The radius of the curve is 440 m, and the car’s mass is 615 kg. (Assume the car’s speed remains constant. Take the radially inward direction to be positive. Indicate the direction with the sign of your answer.)
(a) What is the car’s (centripetal) acceleration?
m/s2
What is it in g‘s?
g
(b) What is the centripetal force acting on the car?
N
8.
A centripetal force of 225 N acts on a 1,150-kg satellite moving with a speed of 5,200 m/s in a circular orbit around a planet. What is the radius of its orbit?
9.
A space probe is launched from Earth headed for deep space. At a distance of 10,000 miles from Earth’s center, the gravitational force on it is 876 lb. What is the size of the force when it is at each of the following distances from Earth’s center?
(a) 20,000 miles
lb
(b) 30,000 miles
lb
(c) 100,000 miles
lb
10.
On a highway curve with radius 30 m, the maximum force of static friction (centripetal force) that can act on a 1,273-kg car going around the curve is 9,127 N. What speed limit should be posted for the curve so that cars can negotiate it safely?
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