Answer:
b) d = 0.71 Km
Explanation:
Car kinematics
Car 1 moves with uniformly accelerated movement
Formula (1)
d: displacement in meters (m)
v₀: initial speed in m/s
vf: final speed in m/s
a: acceleration in m/s²
Equivalences:
1mile = 1609.34 meters
1 hour = 3600s
1km = 1000m
Known data
a = -0.5 m/s²
Distance calculation
We replace data in the Formula (1)
Answer:
The magnitude of the magnetic field is 1.01T and its direction is in the negative x direction
Explanation:
In order to calculate the magnitude and direction of the magnetic field, you take into account the following equation for the magnetic force on the proton:
(1)
v: speed of the proton = 9.9*10^5 m/s
q: charge of the proton = 1.6*10^-19C
B: magnetic field = ?
FB: magnetic force on the proton = 1.6*10^-13N
When the proton travels in the positive y direction (^j), you have that the proton experiences a force in the positive z direction (+^k). To obtain this direction of the magnetic force on the proton, it is necessary that the magnetic field points in the negative x direction, in fact, you have:
^j X (-^i) = -(-^k)=^k
To obtain the magnitude of the magnetic field you use:
The magnitude of the magnetic field is 1.01T and its direction is in the negative x direction
Answer:
0.25 meters per second squared
Explanation:
Stephen A. Douglas was elected senator of Illinois in 1858. He bested Abraham Lincoln in the election for senate.
Radius of circle of spiral path = 6 m
Time period = 5 s
So the total length of the path =
time taken by bird to cover the distance = 5 s
so the speed of the bird = distance / time
so the tangential speed in horizontal direction = 7.54 m/s
vertical velocity by which it is rising upwards = 3 m/s
so the angle with the horizontal for net speed is given as
so velocity vector will make 21.7 degree with the horizontal