Answer:
454,320 joules
Explanation:
The work done on an object is equal to its change in kinetic energy: Change in KE = F × d.
Plug the values for F and d into the formula and solve:
Change in KE = 2,524 × 180
= 454,320 joules
The roller coaster gains 454,320 joules of energy from the work done on it by the chain.
We can first obtain time of flight from vertical fall
Initial velocity U=0, d = 6 m, a = 9.8 m/s²
d = ut + 1/2 at²
6.0 = 0 + (1/2 × 9.80 t²)
t = √(12/9.8)
= 1.106 sec
Horizontal velocity = Vh = Dh/t
= 24.0 /1.106 s
= 21.69 m/s
The ball was thrown at a speed of 21.69 m/s
Answer:
The velocity of motion at which the occupants of the car appear to weigh 20% less than their normal weight is approximately 19.81 m/s
Explanation:
The given parameters are;
The curvature of the hill, r = 200 m
Due to the velocity, v, the occupants weight = 20% less than the normal weight
The outward force of an object due to centripetal (motion) force is given by the following equation;

Where;
r = The radius of curvature of the hill = 200 m
Given that the weight of the occupants, W = m × g, we have;


v = √(0.2 × g × r)
By substitution, we have;
v = √(0.2 × 9.81 × 200) ≈ 19.81
The velocity of motion at which the occupants of the car appear to weigh 20% less than their normal weight ≈ 19.81 m/s.
Answer:
Both rod have the same tensile stress
Explanation:
Given information,
The weight first rod,
= 1000 N
The length of first rod,
= 2.0 m
The weight second rod,
= 500 N
The length of second rod,
= 1.0 m
The equation of tensile stress, σ = 
where
σ = tensile stress (N/
or Pa)
F = Force (N)
A = Area (N/
or Pa)
so
σ1 =
, A = 2πl
= 
=
N/
now calculate σ2
σ2 = 
= 
=
N/
σ1/σ2 =
/ 
σ1/σ2 = 1
σ1 = σ2
Hence, the tensile stress of first and second rod are the same.