Answer:
W = -1844.513 J
Explanation:
GIVEN DATA:
mass of spider man is m 74 kg
vertical displacement if spider is 11 m
final displacement = 11 cos 60.6 = - 6.753 m
change in displacement is = -6.753 - (-11) = 4.25 m
gravity force act on spiderman is f = mg = 74 × 9.8 = 725.2 N
work done by gravity is
where 180 is the angle between spiderman weight and displacement
W = -1844.513 J
Answer:
A
B
C
D
Explanation:
Considering the first question
From the question we are told that
The spring constant is
The potential energy is
Generally the potential energy stored in spring is mathematically represented as
=>
=>
=>
Considering the second question
From the question we are told that
The mass of the dart is m = 0.050 kg
Generally from the law of energy conservation
=>
=>
Considering the third question
The height at which the dart was fired horizontally is
Generally from the law of energy conservation
Here KE is kinetic energy of the dart which is mathematical represented as
=>
=>
=>
Considering the fourth question
Generally the total time of flight of the dart is mathematically represented as
=>
=>
Generally the horizontal distance from the equilibrium position to the ground is mathematically represented as
=>
=>
To solve this problem it is necessary to apply the concepts related to Newton's second Law and the force of friction. According to Newton, the Force is defined as
F = ma
Where,
m= Mass
a = Acceleration
At the same time the frictional force can be defined as,
Where,
Frictional coefficient
N = Normal force (mass*gravity)
Our values are given as,
By condition of Balance the friction force must be equal to the total net force, that is to say
Re-arrange to find acceleration,
Therefore the acceleration the horse can give is