Answer:
Explanation:
According to the parameters provided,
mass of the clay lump, m₁ = 0.05 kg
initial velocity of the lump, u₁ = 12 m/s
mass of the cart, m₂ = 0.15 kg
initial speed of the cart, u₂ = 0
As the clay adheres to the cart, we have an inelastic collision scenario. Let v represent the combined speed of both the cart and lump post-collision. Given that momentum is conserved, we have:
The resultant speed is v = 3 m/s.
Thus, the final speed of both cart and lump following the collision is 3 m/s. This concludes the solution.
Answer:
The separation between Earth and the star is growing.
Explanation:
When we witness the electromagnetic radiation of an object shifting towards the blue spectrum, it indicates that the object is moving closer, which compresses the light waves and decreases the wavelength towards blue, referred to as blueshift.
Conversely, when an object retreats from us rapidly, its light waves are stretched, resulting in a longer wavelength that shifts towards the red part of the spectrum. This shift is termed redshift.
The alteration of wavelength and frequency due to relative motion (approaching or receding) is explained by the Doppler effect.
In this case, since the light we detect from the star has transitioned to the red part of the spectrum, we can infer that it is moving away from Earth, indicating that the distance between the star and Earth is increasing.
Answer:
I'm having difficulty comprehending the figures you've presented, but I will attempt to address the inquiry.
Jay is gathering data on the weight of a basket in correlation to the number of eggs it holds.
For a single egg, he notes that the basket weighs w1
for two eggs, the basket weighs w2
and continues similarly.
In this context, a linear relationship can be established as:
Weight = number of eggs*k + b
Where k denotes the slope and b refers to the y-intercept.
k signifies the average weight of each egg, while b marks the initial weight of the basket.
The overall force acting on the vehicle is zero
Explanation:
Let's evaluate the situation separately for the vertical direction and the horizontal direction along the slope.
Considering the direction perpendicular to the slope, two forces are in effect:
- The weight component acting perpendicular to the slope,
, directed into the slope - The normal force N, directed outward from the slope
Equilibrium exists here, indicating the net force in this direction is zero.
Now let’s examine the parallel direction to the slope. We have two forces present:
- The weight component aligned with the slope,
, directed down the slope - The frictional force
, acting up the slope
The car moves at a constant speed in this direction, indicating that its acceleration is zero.
Thus, according to Newton's second law,
implying the net force is zero:
Learn more about slopes and friction:
