I'm assuming the body is brought to rest in 5 sec.
Vo = 60km/h = 60,000m/3600s. = 16.67 m/s.
V = Vo + a*t.
0 = 16.67 + a*5,
a = -3.33 m/s^2.
Fap = M*a.
=200 = M*(-3.33),
M = 60.0 kg.
Vo = 60km/h = 60,000m/3600s. = 16.67 m/s.
V = Vo + a*t.
0 = 16.67 + a*5,
a = -3.33 m/s^2.
Fap = M*a.
=200 = M*(-3.33),
M = 60.0 kg.
Given:
Velocity (v) = 60 km/hour
Force (F) = 200 Newton
Time (t) = 5 seconds
First, we need to convert the velocity from km/h to m/s:
1 km/h = 1000 m/3600 s
Therefore, v = 60 km/hour = (60 * 1000) / 3600 = 16.67 m/s
Next, we can calculate the acceleration using the formula:
Force (F) = Mass (m) * Acceleration (a)
Rearranging the formula, we get:
Acceleration (a) = Force (F) / Mass (m)
Since the body comes to rest, the final velocity (v) is 0. Therefore, we can use the following equation to calculate the acceleration:
v^2 = u^2 + 2as
Where u is the initial velocity, v is the final velocity, a is the acceleration, and s is the distance traveled.
Since the body comes to rest, the final velocity (v) is 0. The initial velocity (u) is 16.67 m/s, and the time (t) is 5 seconds (which gives us the distance traveled).
0 = (16.67)^2 + 2 * a * s
Since the body is brought to rest by applying a force, the acceleration (a) can be calculated using Newton's second law of motion:
200 = m * a
Now, we have two equations:
0 = (16.67)^2 + 2 * a * s
200 = m * a
To find the mass (m), we need to solve these equations simultaneously.
First, we solve the equation 200 = m * a for acceleration (a):
a = 200 / m
Substituting this value of a into the first equation:
0 = (16.67)^2 + 2 * (200 / m) * s
Now, we can solve this equation for the mass (m).
Note: To find a numerical value for the mass, we also need to know the distance traveled (s) in order to solve the equation.