Answer:
so the height will be increased by 9 times
Explanation:
The truck is in its pontential energy at rest
The potential energy is converted to kinetic energy when in motion
Given that,
h = height of the hill
m = mass of the truck
g = acceleration due to gravity
v = velocity of the truck at the bottom of the hill.
At the top of the hill,
Potential energy(PE) = mgh
Kinetic energy(KE) = 0
Total energy, E = PE + KE = mgh + 0 = mgh____(1)
At the bottom of the hill :
Potential energy, PE = 0
Kinetic energy,KE = (1/2)mv²
Total energy, E = PE + KE
= 0 + (1/2)mv²_____(2)
In law of conservation of energy,
(1) = (2)
mgh = (1/2)mv²
h = (1/2g)v²
given,
v = 2 m/s
g = 9.81 m/s²
h = (1/2(9.81)) × 2²
h = 0.20 m
so,
if v = 6 m/s
h = (1/2(9.81)) × 6²
h = 1.83 m
from the first h = 0.20m and the second h = 1.83m
1.83m / 0.20m
= 9.15
so the height will be increased by 9 times
Answer:
mesuring heigh and weight is important
Formula to find the volume of cylinder is pi×r^2×h ; r --radius ; h -- height
Therefore,vol of cylinder is pi×1.5^2×5.3 = 11.925pi = 37.5 ( rounded off to 3s.f)
Answer:No, the slope won't be too steep
Explanation:
Force is an external agency that causes a body to change its position while friction is a force that causes a body to slide over another. This force is called the frictional force (Ff). The force that causes a body to move is the moving force (Fm).
The slope will be too steep if the frictional force is greater than the moving force since the frictional force tends to oppose the moving force.
According to the explanation, we need to get Ff and compare with the moving force along the plane.
If Ff>Fm it means the slope will be too steep but if Ff<Fm, the slope won't be too steep and as such the body can easily be moved along the plane.
Resolving forces acting along the plane we have FmSintheta + Ff = Fm (FmSintheta and Ff are added because they act in the same direction along the plane)
Fm=50N, theta=5°
Imputing this into the formula to get Ff;
50sin5°+Ff =50
Ff= 50-50sin5°
Ff= 50-4.35
Ff= 45.65N
Since Ff<Fm, this means the slope is not too steep and as such the 30kg load can be moved along the plane easily.
Answer:
8.4 kN
Explanation:
Change in momentum = m₁v₁- m₂v₂ = m(v₁-v₂) = 1.2[8 - (-6)] = 16.8kgm/s
v₂ has been taken as negative because velocity of object colliding ball as +ve. Both are in opposite directions.
Change in momentum = impulse = Force × Time
Time = 2 ms = 2 milli seconds = 0.002 s.
Force = Change in momentum/Time = 16.8/0.002 = 8.4kN
