Answer:
r = 50.47 x 10³ m = 50.47 km
Explanation:
Using the formula for the acceleration due to gravity:
where,
g = acceleration due to gravity on the surface of asteroid = 0.0288 m/s²
G = Universal Gravitational Constant = 6.67 x 10⁻¹¹ Nm²/kg²
m= mass of asteroid = 1.1 x 10¹⁸ kg
r = radius of asteroid = ?
Therefore,
<u>r = 50.47 x 10³ m = 50.47 km</u>
Answer:
d = 68.18 m
Explanation:
Given that,
Initial velocity, u = 15 m/s
Finally it comes to stop, v = 0
Acceleration, a = -1.65 m/s²
Time, t = 2.5 s
We need to find the distance covered by the hayride before coming to a stop. Let d is the distance covered. Using third equation of motion to find it :
So, the hayride will cover a distance of 68.18 m.
Answer:
We would not be able to make our way around the earth's surface, to read, to sculpt or to create technology because we cannot see!
Explanation:
The minimum angular separation that can be distinguished by an eye gives the angular resolution of the eye.
Given that the Angular resolution with infrared radiation is = equal to
This resolution is very much greater than that of the eye
The angular resolution that our eyes can see is about at arms length
Angular resolution of infrared = at arms length
We therefore cannot read, sculpt or create technology because we cannot see.
Answer:
75 N
Explanation:
In this problem, the position of the crate at time t is given by
The velocity of the crate vs time is given by the derivative of the position, so it is:
Similarly, the acceleration of the crate vs time is given by the derivative of the velocity, so it is:
[m/s^2]
According to Newton's second law of motion, the force acting on the crate is equal to the product between mass and acceleration, so:
where
m = 5.00 kg is the mass of the crate
At t = 4.10 s, the acceleration of the crate is
And therefore, the force on the crate is: