Answer: Work done by the box will be 8 Joules.
Explanation:
Work done by a substance is the product of the force applied on it and the displacement of a substance.
Mathematically,
Where,
W = work done = ? J
F = Force applied = 4 N
s = displacement = 2 m
Putting values in above equation, we get:
Hence, work done by the box will be 8 Joules.
Answer:
<em>The sprinter traveled a distance of 7.5 m</em>
Explanation:
<u>Motion With Constant Acceleration </u>
It's a type of motion in which the rate of change of the velocity of an object is constant.
The equation that rules the change of velocities is:
Where:
a = acceleration
vo = initial speed
vf = final speed
t = time
The distance traveled by the object is given by:
Using the equation [1] we can solve for a:
The sprinter travels from rest (vo=0) to vf=7.5 m/s in t=2 s. Computing the acceleration:
Now calculate the distance:
The sprinter traveled a distance of 7.5 m
Answer:
the equation of motion is
Explanation:
Given that,
The weight attached to the spring is 24pounds
Acceleration due to gravity is 32ft/s²
Assume x is the string length, 4inches
convert the length inches to to feet = 4/12 = 1/3feet
From Hookes law , we calculate the spring constant k
k = W / x
k = 24 / (1/3)
k = 24 / 0.33
k = 72lb/ft
If the mass is displace from its equilibrium position by amount x
the differential equation is
Auxiliary equation is
Thus the solution is,
The mass is release from rest
x'(0) = 0
Therefore
x(t) = c₁ cos4 √6t
x(0) = -2inches
c₁ cos4 √6(0) = 2/12feet
c₁= 1/6feet
There fore, the equation of motion is