Answer:
(a) 4.67m/s^2
(b) 887.3N
Explanation:
The speed is given in km/h ,therefore we have to convert it to m/s
In doing so 87.4km/h = 87.4×1000/3600
=24.28m/s
Constant acceleration is defined as the ratio is velocity per unit time
Constant acceleration = velocity/time
= 24.28/5.2
=4.67m/s^2
The net force causing the acceleration
The weight of the motorcycle is 1.9kN
Giving us a mass of 1900/10
= 190kg
Therefore the net force .= m×a
= 190 × 4.67
=887.3N
Answer:
(a) 4.67 m/s²
(b) 905.42 N
Explanation:
Given:
Weight, w = 1.9 kN
weight = mass × acceleration due to gravity
1.9 kN = mass × 9.8 m/s²
mass = [tex]\frac{1900}{9.8}[/tex]
= 193.88 kg
Initial velocity, u = 0 m/s
Final velocity, v = 87.4 km/h
converting to m/s = [tex]\frac{87.4 * 1000}{3600}[/tex] = 24.28 m/s
Time, t = 5.2 s
From equation of motion;
v = u + at
24.28 = 0 + 5.2a
5.2a = 24.28
[tex]a = \frac{24.28}{5.2}[/tex]
a = 4.67 m/s²
(b) From Netwon's second law of motion, the force acting on a body is equal to the product of the mass and acceleration experienced by the body.
F = mass × acceleration
F = 193.88 × 4.67
F = 905.42 N
