Potential energy = (mass) x (gravity) x (height)
1 joule = (1,000 kg) x (9.8 m/s²) x (height)
Height = 1 joule / (9,800 newtons)
= 1/9800 meter
= 0.000102 meter
= 0.102 millimeter (rounded)
Total energy when she at the top = total energy when she at the bottom.
Gravitational acceleration is approx 9.8 m/s
Time is 7s
a=9.8 m/s
t=7s
a = d/t^2
therefore:
d = a * t^2
d = 9.8 * 7^2
d = 9.8 * 49
d = 480.2 [m]
Answer:
Deceleration = 5.7 m/s²
Explanation:
We are given;
Deceleration of the car; d = -3.15 m/s²
Angle of inclination; θ = 9.7°
Coefficient of friction will be calculated as; μ = d/g = 3.15/9.81 = 0.3211
Now,the acceleration would be gotten from the formula;
a = g (sin(θ) + μ cos(θ))
Plugging in the relevant values to give;
a = 9.81[sin 9.7 + (0.3211 × cos (9.7)]
sin 9.7 and cos 9.7 are in radians, thus we have;
a = 9.81(-0.2718 + (0.3211 × -0.9624))
a = -5.7 m/s²
Negative acceleration means a Deceleration of 5.7 m/s²