A ""doomsday"" asteroid with a mass of 1.0 * 1010 kg is hurtling through space. Unless the asteroid’s speed is changed by about 0.20 cms, it will collide with Earth and cause tremendous damage. Researchers suggest that a small ""space tug"" sent to the asteroid’s surface could exert a gentle constant force of 2.5 N. For how long must this force act?

Δt = 8 x 10^6secs , Δt in days = 92.6days

1 day = 86400secs

Explanation:

The concept of momentum is applied here.momentum is the product of mass and change in velocitymathematically p = mΔvp = momentum, m = mass of the body, Δv = change in velocityacceleration a = Δv/ΔtΔv = aΔt

the impulse is the product of the force and the change in time;

mathematically I = FΔt

as such Impulse = change in momentumI = ΔpmΔv = I = FΔtΔt = mΔv/Fbut m = 1.0 x 10^10 kg, Δv = 0.20cm/s or 0.002m/s, F = 2.5NPlugging the values into ; Δt = mΔv/F = 1.0 x 10^10 kg x 0.002m/s x 2.5NΔt = 8 x 10^6secs , Δt in days = 92.6daysN/B ; 1 day = 86400secs

Football was the fourth deadliest sport with a fatality rate of .81 per 100,000 participants. cheerleading, which has been shown to be the most dangerous activity based on injury data, was not included in the study because it was not classified as a sport.this is my answer because it didn’t give me any sports