Answer:
a.3.29 m/s
b.3.3 m/s
c.14.8 m
d.15 m
Explanation:
We have the following specifics:
Initial Horizontal speed=
Vertical component of initial speed=
Vertical distance=
a.
Applying the formula and considering g as negative results in 
b.Since the hundredths place exceeds 5, 1 is added to the tenths place, while other digits to the left remain unchanged and the digit to the right is replaced by 0.
c.Horizontal acceleration=
d.The digit in the tenths place at 8 surpasses 5, thus adding 1 to the units place, with all other digits on the left side unchanged and the right-side digit altered to 0.
Horizontal distance=15 m
Electrons are present in all matter. The identification and analysis of cathode rays indicated their nature as subatomic particles, marking the first discovery of electrons. This finding became instrumental in explaining chemical bonds, largely due to the relative ease with which electrons move between atoms.
Answer:
B. Truck X was ahead, not truck Y.
Explanation:
Let's analyze the information provided.
Truck X moved from the point (0,20) to (2.8,50). This indicates that it began at the 20th kilometer and reached 50 km in 2.8 hours. Thus, its speed is v1 = (s2 - s1) / t
v1 = (50 - 20) / 2.8
v1 = 10.7 km/h
Given that it started from the 20th km, it indeed had a head start. Since the line on the graph is linear, this shows its speed was constant without any change in direction.
On the other hand, Truck Y's movement went from the origin (0,0) to (5,20), meaning it took 5 hours to travel 20 km, resulting in a speed of v2 = 20 / 5
v2 = 4 km/h
Again, the straightness of its graph line signifies it maintained a constant speed in a single direction.
Thus, it is evident that Rosa erred in her assumption that Truck Y had a head start.
The torque resulting from a force is expressed as τ= F r into the blade.
The force's moment is mathematically represented as τ = F x r, where the bold terms signify vectors. We can express this in terms of magnitude as τ = F r sin θ. In our scenario, since the force is tangential to the wheel, the angle between F and the radius is 90º, with sin 90 = 1. Hence, τ= F r.
The torque's direction can be determined using the right-hand rule, where fingers curling in accordance with the torque direction from force to radius, with the thumb indicating the torque's direction.
For a clockwise rotation, the fingers curl in that direction, and the thumb points inward toward the blade, indicating the direction of the torque.
The required duration is 16.1 minutes. To determine the heat needed to raise the temperature, we must calculate the following amounts, where Q represents the required heat, m stands for mass, V represents the volume, C signifies specific heat, and ΔT indicates temperature change. After substituting the provided values into the formula and calculating, the next step is determining the required time based on the formula t = Q/P, where P is given as 1500 W. Ultimately, we find that the time needed is 16.1 minutes.
