Physics Assignment: Force, Motion, and Gravitational Calculations

This physics assignment encompasses several key concepts, including force, motion, and gravity. The first part involves matching definitions to terms like electromagnetic force, equilibrant force, mechanical equilibrium, weight force, unbalanced forces, and system. The second part requires calculations related to an aircraft landing on a carrier, determining the force exerted by the arresting wire, and analyzing the forces acting on a sled. Furthermore, the assignment includes problems on calculating net pulling forces, mass determination based on force and acceleration, and the impact of gravitational force variations, specifically comparing Earth's and Jupiter's gravitational effects on an object's mass. The assignment requires the application of Newton's second law and the understanding of related concepts.

PHYSICS
1. Match each definition with the correct term.
Description Term
i. a part of the universe isolated for study System
ii. a force that yields a zero force ∑ when addedto
one∨more concurrent forces
Equilibrant force
iii. a push∨a pull on a system Force
iv. the unequal forces on an object that cause the
object ¿ accelerate
Unbalanced forces
v one of the four fundamental forces∈nature ;
manifested ∈the forces exerted between atoms
Electromagnetic force
vicondition that ∃whenthe vector ∑ of all
forces∧torques on a systemis zero
Mechanical equilibrium
vii a measure of the force of gravity acting on an
object ' s mass at the earth ' s surface
Weight
2. An aircraft is landing on an aircraft carrier. The aircraft’s mass is
17,600 kg. Assume its initial horizontal landing speed is 66 m/s. What is
the magnitude of the force that the arresting wire exerts on the aircraft,
assuming that the aircraft’s deceleration is uniform?
Solution
Using Newton 2nd law
F=Ma
Where, F−Force , M −mass ,a−acceleration
a= v−u
t
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PHYSICS
v=0 u= 66 m
s t=2.2 sec
a= 0−66
2.2
¿30m/s2
F=Ma=17600 x 30
=520,000 N
3. If the sled does not move, what is the other force that must be acting on
the sled? Suppose that two boys pull a sled with forces of 2.0 x 10 4 N at a
15° angle to the left of the center of the sled, and 1.8 x 10 4 N at an angle of
25° to the right of the center of the sled, respectively.
Taking the moment at the centre part of the sled
Clockwise moment=anticlockwise moment
∑ F y=ma y=0
m+F 1 cos θ−F 2 cosθ=0
m+2.0 x 1 04 sin 1 5o−1.8 x 1 04 sin 2 5o =0
m+5.18 x 1 03−7.61 x 1 03=0
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PHYSICS
m=7.61 x 1 03−5.18 x 103
= 2.1 x 1 04 N at 260o
4. What is the net pulling force vector on the sled? Suppose that two boys
pull a sled with forces of 2.0 x 10 4 N at a 15° angle to the left of the center
of the sled, and 1.8 x 10 4 N at an angle of 25° to the right of the center of
the sled, respectively.
Taking the moment at the centre part of the sled
Clockwise moment=anticlockwise moment
∑ F y=ma y=0
m+F 1 cos θ−F 2 cosθ=0
m+2.0 x 1 04 sin 1 5o−1.8 x 1 04 sin 2 5o =0
m+5.18 x 1 03−7.61 x 1 03=0
m=7.61 x 1 03−5.18 x 103
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PHYSICS
= 2.1 x 1 04 N at 80o
5. What is the mass of a 5000 N car?
m= w
g
Wherem−mass,w−weight∧g−gravitational force
Given that w=5000 , g=9.81 N / kg
m= 5000
9.81 =509.68
¿510kg
6. A force of 20.0 N gives an object an acceleration of 12.5 m/s 2. What is the
mass of the object?
Using Newton 2nd law
F=Ma
Where, F−Force , M −mass ,a−acceleration
Given that F=20 N ∧a=12.5 m/ s2
M = F
a = 20
12.5
¿ 1.60 kg
7. A force of 15.0 N gives an object an acceleration of 7.50 m/s 2. What force
would be needed to give it an acceleration of 2.0 m/s 2?
F=Ma
Where, F−Force , M −mass ,a−acceleration
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PHYSICS
For the 1st case F=15.0 N∧a=7.50 m/s2
M = F
a = 15.0
7.50
¿ 2.0 kg
For the 2nd case a=2.0 m/ s2∧m obtained=2.0 kg
F=Ma
F=2.0 x 2.0
¿ 4.0 N
8. Jupiter's gravitational force is 254% stronger than earth's based on its
mass. Kendra's mass on earth is 34 kg. What is her mass under Jupiter's
gravitational force?
m= w
g
Where, w−Weight , m−mass , g−gravitaional force
Given that m=34 kg∧g=9.81 N / kg (Earth)
Jupiter gravitational force ( g)=254 % Of the earth
= 254
100 x 9.81= 24.92 N/kg
Mass under Jupiter gravitational pull=34 kg
= 34kg
Mass does not change with the change in gravitational force
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PHYSICS
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